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Consider the following pairs:

1.If A=1, B=2then CAT = 24
2.If Z=1, Y=2then BAT = 25
3.If A=1, B=2then RAT = 39

How many of the above pairs are correctly matched?

  • A.Only one pair
  • B.Only two pairs
  • C.All three pairs
  • D.None of the pairs

Answer: B

Only two pairs are correctly matched.

Pair 1, with A = 1, B = 2 and so on: C + A + T = 3 + 1 + 20 = 24. Correct.

Pair 2 reverses the alphabet, Z = 1, Y = 2, so a letter at position p gets \(27 - p\): B = 25, A = 26, T = 7, and BAT = 58, not 25. Incorrect.

Pair 3: R + A + T = 18 + 1 + 20 = 39. Correct.

The trap in pair 2 is to read B = 25 and stop; the code is the sum of all three letters.

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